Factoring Trinomials (a=1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

What does it mean to factor a trinomial?

Back

Factoring a trinomial involves rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in a trinomial?

Back

The leading coefficient (a) determines the direction of the parabola when graphed.

Front

How do you identify the coefficients in a trinomial?

Back

In ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.

Front

What is the first step in factoring a trinomial when a=1?

Back

Identify two numbers that multiply to 'c' and add to 'b'.

Front

Factor the trinomial: r^2 - 16r + 60

Back

(r - 6)(r - 10)

Front

Factor the trinomial: p^2 + 18p + 45

Back

(p + 15)(p + 3)

Front

What does it mean if a trinomial cannot be factored?

Back

It means the trinomial is prime, meaning it cannot be expressed as a product of binomials.

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)